MATHEMATICS
                Module 2
                Algebra
           Algebra                               TABLE OF CONTENTS
                          TABLEOFCONTENTS
           LIST OF FIGURES ..................................................iii
           LIST OF TABLES ...................................................iv
           REFERENCES ..................................................... v
           OBJECTIVES ......................................................vi
           ALGEBRAIC LAWS ................................................. 1
               Algebraic Laws ................................................ 1
               Summary .................................................... 3
           LINEAR EQUATIONS ............................................... 4
               Solutions to Algebraic Equations .................................... 4
               Algebraic Equations ............................................. 4
               Types of Algebraic Equations ...................................... 5
               Linear Equations ............................................... 6
               Solving Fractional Equations ...................................... 10
               Ratio and Proportion ........................................... 13
               Summary ................................................... 16
           QUADRATIC EQUATIONS ........................................... 17
               Types of Quadratic Equations ..................................... 17
               Solving Quadratic Equations ...................................... 17
               Taking Square Root ............................................ 18
               Factoring Quadratic Equations ..................................... 21
               The Quadratic Formula ......................................... 25
               Summary ................................................... 30
           SIMULTANEOUS EQUATIONS ....................................... 31
               Solving Simultaneous Equations ................................... 32
               Summary ................................................... 41
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        TABLE OF CONTENTS                                                                       Algebra
                                TABLEOFCONTENTS(Cont)
        WORDPROBLEMS ................................................ 42
               Basic Approach to Solving Algebraic Word Problems .................... 42
               Steps for Solving Algebraic Word Problems ........................... 43
               Word Problems Involving Money .................................. 50
               Problems Involving Motion ....................................... 54
               Solving Word Problems Involving Quadratic Equations ................... 60
               Summary ................................................... 62
        LOGARITHMS .................................................... 63
               Calculator Usage, Special Keys .................................... 63
               Introduction  ................................................. 63
               Definition ................................................... 64
               Log Rules ................................................... 65
               Common and Natural Logarithms .................................. 68
               Anti-Logarithms .............................................. 69
               Natural and Common Log Operations ............................... 69
               Summary ................................................... 71
        GRAPHING ...................................................... 72
               The Cartesian Coordinate System .................................. 73
               Cartesian Coordinate Graphs ...................................... 74
               Logarithmic Graphs ............................................ 77
               Graphing Equations ............................................ 81
               Nomographs ................................................. 82
               Summary ................................................... 84
        SLOPES ......................................................... 85
               Slope ...................................................... 85
               Summary ................................................... 89
        INTERPOLATION AND EXTRAPOLATION .............................. 90
               Definitions .................................................. 90
               Interpolation and Extrapolation .................................... 90
               Summary ................................................... 92
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                     Algebra                                                                     LIST OF FIGURES
                                                     LIST OF FIGURES
                     Figure 1      The Cartesian Coordinate System ............................. 73
                     Figure 2      Cartesian Coordinate Graph of Temperature vs. Time ............... 75
                     Figure 3      Cartesian Coordinate Graph of Density of
                                    Water vs. Temperature ..................................... 76
                     Figure 4      Cartesian Coordinate Plot of Radioactive
                                    Decay of Strontium 90 ..................................... 78
                     Figure 5      Semi-log Plot of Radioactive Decay of Strontium 90 ................ 79
                     Figure 6      Log-Log Plot of Frequency vs. Wavelength of Electromagnetic
                                    Radiation .............................................. 80
                     Figure 7      Plot ofx+y=5......................................... 81
                     Figure 8      Cartesian Coordinate Graph of Quadratic
                                    Equation or Function ...................................... 82
                     Figure 9      Cartesian Coordinate Graph of Exponential
                                    Equation or Function ...................................... 82
                     Figure 10     Typical Nomograph ....................................... 82
                     Figure 11     Slope ................................................. 86
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